1. Teachers' Salaries in Connecticut The average teacher's salary in Connecticut (ranked first among states) is

$57,337 . Suppose that the distribution of salaries is normal with a standard deviation of $7500 . Round intermediate z

value calculations to two decimal places and the final answers to at least four decimal places.

a. (a)What is the probability that a randomly selected teacher makes less than $43,900 per year?

2. Cell Phone LifetimesA recent study of the lifetimes of cell phones found the average is 24.3 months. The standard deviation is 24.3 months. The standard deviation is2.2 months. If a company provides its40

employees with a cell phone, find the probability that the mean lifetime of these phones will be less than

23.1 month. Assume cell phone life is a normally distributed variable, the sample is taken from a large population and the correction factor can be ignored. Round the final answer to at least four decimal places and intermediate

z-value calculations to two decimal place

=P<X23.1

3. Systolic Blood Pressure Assume that the mean systolic blood pressure of normal adults is

120millimeters of mercury (mmHg ) and the standard deviation is 5.6 . Assume the variable is normally distributed. Round the answers to at least 4 decimal places and intermediate z -value calculations to 2 decimal places.